Home
Class 12
MATHS
(1+sin2A-cos2A)/(1+sin2A+cos2A)=tanA...

`(1+sin2A-cos2A)/(1+sin2A+cos2A)=tanA`

Text Solution

AI Generated Solution

To prove that \[ \frac{1 + \sin 2A - \cos 2A}{1 + \sin 2A + \cos 2A} = \tan A, \] we will start with the left-hand side (LHS) and manipulate it step by step until we reach the right-hand side (RHS). ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.5|6 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.6|5 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.3|13 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos
  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

Prove that : (1+sin 2A-cos 2A)/(1+sin 2A+cos 2A) = tan A

If A=30^(@) , show that : (1+sin2A+cos2A)/(sinA+cosA)=2cosA .

If A=30^(@) , show that : (1+sin2A+cos2A)/(sinA+cosA)=2cosA .

If A = 30^(@) , show that : (i) (1 + sin 2A + cos 2A)/(sin A + cos A) = 2 cos A (ii) (cos^(3)A - cos 3A)/(cos A) + (sin^(3)A + sin 3A)/(sin A) = 3

Solve (1+sin^2x-cos^2x)/(1+sin^2x+cos^2x)

Prove that (1-cos2A+sin2A)/(1+cos2A+sin2A)=tanA

Prove the following identities : (sin A + cos A)/ (sin A - cos A) + (sin A - cos A)/ (sin A + cos A) = (2)/ (2 sin^(2) A - 1)

Show that : sin^8 A-cos^8 A = (sin^2 A - cos^2 A) (1-2 sin^2 A*cos^2 A)

Show that (i) sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A.cos^(2)A) (ii) (1)/(sec A-tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A + tan A)

Prove that: (sin5A cos2A-sin6A\ cos A)/(sin A\ sin2A-cos2A cos3A)=t a n A